I’m struggling with a, b, c, d toFig. Q4.1 Rigid beamAn engineer is studying the small vibration of the rigid beam depicted in Fig.Q4.1 around its restposition. The beam is linked to the support using a rotational spring. It can be shown that the angleis given by the solution of the equationJÖ + a0 + k₂0 =→i (s)0where J = 500 kgm² is the moment of inertia, a = 100 Nsm/rad is the damping coefficient,ke = 1200Nm/rad is the rotational stiffness, L=1m is the length of the beam and f(t) is anapplied force.a) Determine the transfer function associated with Eq.(4.1).b) The dynamic response of the system is controlled using a PI controller:Lf(t)PIThe transfer function of the PI controller isFig. Q4.2 Closed-loop systemBeamC(s) = a(K₁, +K₁↓ f(t)S)e(s)with K₁=2, K₁= 5 and = 1.Determine the open-loop transfer function and the associated frequency response function.c) Determine the closed-loop transfer function.

The transfer function of a linear time-invariant system is defined as the Laplace Transform of the…

Answered: a) Determine the transfer function…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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